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Finding the Fourth Proportional to 5,995.19, 8,947 and 5,339.09

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Solution

The fourth proportional to 5,995.19, 8,947 and 5,339.09 is: 7,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.19 : 8,947 = 5,339.09 : x
  2. Step 2: Convert to fraction form
    5,995.19/8,947 = 5,339.09/x
  3. Step 3: Cross multiply
    5,995.19x = 8,947 × 5,339.09
  4. Step 4: Simplify right side
    5,995.19x = 47,768,838.23
  5. Step 5: Solve for x
    x = 47,768,838.23/5,995.19
  6. Step 6: Final answer
    x = 7,967.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.